论文标题
稳定的PICARD组(n)
The Stable Picard Group of A(n)
论文作者
论文摘要
在本文中,我们证明了$ a(n)$的稳定PICARD组,用于$ n \ geq 2 $ is $ \ mathbb {z} \ oplus \ mathbb {z} $,通过考虑$ a(n)$ $ a(n)$的胎盘模块来考虑。证明依靠从HOPF代数减少到其适当的HOPF亚词法。
In this paper, we showed that the Stable Picard group of $A(n)$ for $n\geq 2$ is $\mathbb{Z}\oplus \mathbb{Z}$ by considering the endotrivial modules over $A(n)$. The proof relies on reductions from a Hopf algebra to its proper Hopf subalgebras.